Search a number
-
+
1955388240 = 24325132331293
BaseRepresentation
bin111010010001100…
…1101101101010000
312001021102000101200
41310203031231100
513001034410430
6522010431200
766312345231
oct16443155520
95037360350
101955388240
11913847143
12466a32500
13252157680
141479a5088
15b69ee460
hex748cdb50

1955388240 has 480 divisors, whose sum is σ = 7643510784. Its totient is φ = 444026880.

The previous prime is 1955388223. The next prime is 1955388269. The reversal of 1955388240 is 428835591.

1955388240 is a `hidden beast` number, since 1 + 95 + 538 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6673534 + ... + 6673826.

Almost surely, 21955388240 is an apocalyptic number.

1955388240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1955388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821755392).

1955388240 is an abundant number, since it is smaller than the sum of its proper divisors (5688122544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1955388240 is a wasteful number, since it uses less digits than its factorization.

1955388240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1955388240 is about 44219.7720482591. The cubic root of 1955388240 is about 1250.4826381577.

The spelling of 1955388240 in words is "one billion, nine hundred fifty-five million, three hundred eighty-eight thousand, two hundred forty".